Solve 114/4-13/10

$$1 \frac { 14 } { 4 } - 1 \frac { 3 } { 10 }$$

Evaluate

$$\frac{16}{5}=3.2$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+14}{4}-\frac{1\times 10+3}{10}$$

Add 4 and 14 to get 18.

$$\frac{18}{4}-\frac{1\times 10+3}{10}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}-\frac{1\times 10+3}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{9}{2}-\frac{10+3}{10}$$

Add 10 and 3 to get 13.

$$\frac{9}{2}-\frac{13}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{9}{2} and \frac{13}{10} to fractions with denominator 10.

$$\frac{45}{10}-\frac{13}{10}$$

Since \frac{45}{10} and \frac{13}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-13}{10}$$

Subtract 13 from 45 to get 32.

$$\frac{32}{10}$$

Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}$$

Factor

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$